100202121222100 has 36 divisors (see below), whose sum is σ = 217793315425084. Its totient is φ = 40015463719680.

The previous prime is 100202121222089. The next prime is 100202121222139. The reversal of 100202121222100 is 1222121202001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13639268287044 + 86562852935056 = 3693138^2 + 9303916^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817248009 + ... + 817370608.

Almost surely, 2^{100202121222100} is an apocalyptic number.

100202121222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202121222100 is an abundant number, since it is smaller than the sum of its proper divisors (117591194202984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100202121222100 is a wasteful number, since it uses less digits than its factorization.

100202121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634619244 (or 1634619237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100202121222100 its reverse (1222121202001), we get a palindrome (101424242424101).

The spelling of 100202121222100 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".